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Reply 1280
Original post by suncake
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Original post by Arva
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she probably means like an acronym or something :tongue:

OT: do you do chemistrY??
(edited 11 years ago)
Original post by raheem94
Well done at C1 :smile:

Good luck for the exam


Thank youuu! Good luck for whatever exams you're doing :biggrin:
Reply 1282
Original post by 12win12
any way to remember whether its +/- for sin or cos differenciated?? :/


Yes. If you differentiate sin it becomes cos. If you differentiate cos it becomes -sin.
You can then guess what happens to -sin, since it's -d(sinx)/dx... etc.
Original post by UWS
Can someone quickly explain to me how to do question 8c for Jan 2012? I don't understand it...


You divide both sides by (sqrt3 - tanθ)

this will then give you the same equation that you see in part B and it will mean that the result you get on the left hand side is equal to tan(θ + π / 6)

NOTE: The π symbol is pi
this then gives you:

tan(θ + π / 6) = tan(π - θ)

you can then assume that (as these would both equal each other and cancel out):

θ + / 6) = π - θ

adding θ to both sides and subtracting / 6) from both sides you get:

= (5π / 6)

Divide both sides by two and you get:

θ = (5π / 12)

that's your first answer, and since the range is now you have to find the second value, this is done by using the same initial equation but inserting instead of π like this:

tan(θ + π / 6) = tan(2π - θ)

and then you do the same working again.
I hope this is clear enough.
Original post by Jetblast
Yes, but what are these simple methods? I have a multitude of examples, but cant find them now


The domain of f(x) is the range of f^-1(x)
The range of f(x) is the domain of f^-1(x)

(correct me if I'm wrong, Arva :tongue:)
Original post by Arva
You couldn't do that for the two marker before it though. Less than 10% of candidates got it right - it was the first time it'd turned up in a paper and threw a lot of people. Luckily I think I'm prepared for if something like that comes up.


You were given y = arccos(x). So you know x = cos(y). Therefore arcsin(x) is simply arcsin(cos(y)). That gave you full marks, you didn't have to put it in terms of pi. I'm suprised people struggled with it.
Reply 1286
Original post by Jetblast
Yes, but what are these simple methods? I have a multitude of examples, but cant find them now


I can't really give you a method without a question... :colonhash:
If it gives you the domain, sub in the x values to find out the range. If it gives you either the range or domain of the inverse, you can use those to determine the range or domain of the original.
Original post by Arva
No problem. Did you get the right answer (π2y)(\frac{\pi}{2}-y) ?

Yeah thanks :smile:
Reply 1288
Original post by suncake
The domain of f(x) is the range of f^-1(x)
The range of f(x) is the domain of f^-1(x)

(correct me if I'm wrong, Arva :tongue:)


that's perfect suncake :tongue:
Reply 1289
Original post by suncake
The domain of f(x) is the range of f^-1(x)
The range of f(x) is the domain of f^-1(x)

(correct me if I'm wrong, Arva :tongue:)


That's right, don't worry. :smile:
Reply 1290
Original post by docwannabe
Yeah thanks :smile:


:five:
Reply 1291
Well goodluck everyone
Original post by wam-bam
that's perfect suncake :tongue:



Original post by Arva
That's right, don't worry. :smile:


Woooo!

What are the chances of remainder theorem coming up? (Please say very low)
Reply 1293
Original post by suncake
Woooo!

What are the chances of remainder theorem coming up? (Please say very low)


i love remainder theorem :biggrin:
Reply 1294
Original post by suncake
Woooo!

What are the chances of remainder theorem coming up? (Please say very low)


Low, that's usually C2. What's your problem with it though?
Literally just sub in the given X value and the number spat out is your remainder.
Original post by suncake
Woooo!

What are the chances of remainder theorem coming up? (Please say very low)


Even if it does you can just use long division to find the remainder, shouldn't be penalised. Besides, just remember that if you divide a polynomial by (x-c) the remainder will be f(c).
[QUOTE="wam-bam;38100405"]
Original post by docwannabe

jan 07 Q8


Ew, that question is fking nasty.
I wouldn't of had a clue what to do if that came up in the exam, since I've never done anything with Arcsin/cos/tan before, at least I know now.
Original post by suncake
Woooo!

What are the chances of remainder theorem coming up? (Please say very low)


Why would remainder theorem come up, that's C2. :rolleyes:
Original post by Arva
Low, that's usually C2. What's your problem with it though?
Literally just sub in the given X value and the number spat out is your remainder.


Remember it's the negative of the number. When dividing by (x-c) the remainder is f(c).
Reply 1299
Original post by Arva
Low, that's usually C2. What's your problem with it though?
Literally just sub in the given X value and the number spat out is your remainder.


spat out, :P love it, we're definitely overdosing on C3 right now :tongue:
I feel mentally tired but i know i wont get to sleep till like 2/3 :frown:
you feeling ready enough for this exam yet??
time for my beloved coffee break :u:
(edited 11 years ago)

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